Question

Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin.

Where does point A end up?

A. On segment CD
B. inside triangle BCD
C. outside of triangle BCD
D. on segment BC

Answer 1

Point A'(5,0) is inside triangle BCD, option B is correct.

How the new location of point A is determined after transformation.

When a point is rotated in the Cartesian plane, swapping its coordinates gives you the new point after a 90⁰ rotation.

For point A(0,5), swapping coordinates gives (5,0).

Additionally, since it's a clockwise rotation, negate the new x-coordinate, resulting in A'(5,0).

So, point (5,0) lies on the horizontal x-axis between lines BC and CD.

Therefore, point A'(5,0) is inside triangle BCD, option B is correct.